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devlian [24]
4 years ago
9

Part 1: Explain, using complete sentences, the Transitive Property of Equality in geometric terms.

Mathematics
1 answer:
weqwewe [10]4 years ago
3 0

Answer:

Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.

Mathematically, the transitive property can be written as follows;

When X = Y, and Y = Z, then also X = Z

Part 2: The transitive property of equality can be represented using angles as follows

Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B  also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.

Step-by-step explanation:

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1. The diagonal of a quadrilateral
zalisa [80]

Consider the length of diagonal is 8.5 cm instead of 8.5 m because length of perpendiculars are in cm.

Given:

Length of the diagonal of a quadrilateral = 8.5 cm

Lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are 3.5 cm and 4.5 cm.

To find:

The area of the quadrilateral.

Solution:

Diagonal divides the quadrilateral in 2 triangles. If diagonal is the base of both triangles then the lengths  of the perpendiculars dropped on  it from the remaining opposite  vertices are heights of those triangles.

According to the question,

Triangle 1 :  Base = 8.5 cm and Height = 3.5 cm

Triangle 2 :  Base = 8.5 cm and Height = 4.5 cm

Area of a triangle is

Area=\dfrac{1}{2}\times base \times height

Using this formula, we get

Area(\Delta 1)=\dfrac{1}{2}\times 8.5\times 3.5

Area(\Delta 1)=14.875

and

Area(\Delta 2)=\dfrac{1}{2}\times 8.5\times 4.5

Area(\Delta 2)=19.125

Now, area of the quadrilateral is

Area=Area(\Delta 1)+Area(\Delta 2)

Area=14.875+19.125

Area=34

Therefore, the area of the quadrilateral is 34 cm².

6 0
3 years ago
What is the equivalent ratiosof 11:3
Elina [12.6K]
22:6 is one of them. Do you need more than one?
5 0
4 years ago
What is the slope of 2y=5x+7
AleksAgata [21]

Answer:

5/2

Step-by-step explanation:

Shown in picture above.

7 0
3 years ago
What id the greatest common factor shared by 24 and 54
Marysya12 [62]

Answer:

6.

Step-by-step explanation:

3 0
3 years ago
-6x + 18 = 7- (4x + 9) help will give brainlyist
andreyandreev [35.5K]

Answer:

X = -5

Step-by-step explanation:

-6x + 18 = 7 - (4x + 9)

first we simplify the parentheses.

distribute the invisible number one created by the negative sign in front of the parentheses to get -6x + 18 = 7 - 4x - 9

then simplify further by subtracting 9 from the right side, leaving you with

-6x + 18 = -2 - 4x

next, add 2 to both sides to isolate the variable.

-6x + 20 = -4x

then, to isolate the variable further add 6x to both sides.

20 = -4x

divide both sides by -4 to isolate the variable

-5 = x

so, x = -5

6 0
3 years ago
Read 2 more answers
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